Results 161 to 170 of about 615 (177)
Moyal-like form of the star product for generalizedSU(2) Stratonovich-Weyl symbols
Journal of Physics A, 2002 The star product is the basic tool used in the phase-space formulation of quantum mechanics. We find a differential form of the star product for a class of s-parametrized SU (2) Stratonovich-Weyl symbols which appear in the phase-space representation of ...
A B Klimov
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Analysis of the Moyal product in a flat space
Journal of Mathematical Physics, 1986This paper studies the mathematical properties of Moyal product defined in the space R2n. They correspond to the properties of quantum mechanics and permit us to consider classical mechanics as a limit of quantum mechanics when Planck’s constant vanishes.
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Generalised Deformations, Koszul Resolutions, Moyal Products
Reviews in Mathematical Physics, 1998We generalise Gerstenhaber's theory of deformations, by dropping the assumption that the deformation parameter should commute with the elements of the original algebra. We give the associated cohomology and construct a Koszul resolution for the polynomial algebra [Formula: see text] in the "homogeneous" case.
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Stochastic differential calculus, the Moyal *-product, and noncommutative geometry
Letters in Mathematical Physics, 1993The authors present a reformulation of the Itõ calculus of stochastic differentials in terms of a differential calculus in the sense of noncommutative geometry. In this calculus, differentials do not commute with functions. The relation between both types of differential calculi is mediated by a generalized Moyal *-product.
Dimakis, Aristophanes +1 more
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MOYAL STAR PRODUCT OF μ-HOLOMORPHIC j-DIFFERENTIALS
International Journal of Geometric Methods in Modern Physics, 2008It was shown in [1], only for scalar conformal fields, that the Moyal–Weyl star product can introduce the quantum effect as the phase factor to the ordinary product. In this paper we show that, even on the same complex structure, the Moyal–Weyl star product of two j-differentials (conformal fields of weights (j, 0)) does not vanish but it generates ...
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Open Superstring Star as a Continuous Moyal Product with B Field
Communications in Theoretical Physics, 2003In this paper, we recast the matter part of the open superstring star in the present of a constant B field. By using a different coordinate representation the matter part of the open superstring star is identified with the continuous Moyal product of functions of anti-commuting variables.
Wang Xiao-Hui +3 more
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Higher Spin Theories with The Moyal Product
2018Overview of the recent attempts to construct higher spin field theories in Minkowski spacetime is presented. It is shown that, despite the negative expectations comming from no-go theorems, we have found one candidate: higher-spin Yang-Mills theory. The properties and unknowns of HS-YM theory are presented.
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Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product
2000Beyond formal deformation quantization, i.e., deformation quantization of Poisson algebras with a formal deformation parameter [1], one can ask whether the formal parameter converges. In this direction, Rieffel [7] presented a notion of strict deformation quantization: Deformation quantization with a convergent product in the C*-algebras sense.
Hideki Omori +3 more
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MOYAL STAR-PRODUCT ON A HILBERT SPACE
Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski, 2006openaire +1 more source
Dressing operator approach to Moyal algebraic deformation of selfdual gravity
Journal of Geometry and Physics, 1994Kanehisa Takasaki
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